Al-Khwarizmi
Applied Mathematics Webinar 

Next talk: September 30, 2025. 

Tuesday - 5:00 pm (KSA)- (2:00 p.m GMT) 

Zoom link: https://ksu-hub.zoom.us/j/97753107489

Speaker:    Alessandra Caraceni,  Scuola Normale Superiore di Pisa, Italy. 

Title: Where do random trees grow leaves?  

Abstract: Consider the problem of growing a binary tree uniformly at random by the leaves, that is, of coupling a uniform random binary tree with n internal vertices with a uniform binary tree with one extra internal vertex, in such a way that the latter is obtained from the former by growing two new children of a random leaf. The existence of a probability measure on the leaves for which this uniform growth procedure is possible is due to Łuczak and Winkler, and some more information about what this measure must look like was obtained in joint work with Alexandre Stauffer. With Nicolas Curien and Robin Stephenson, we extend this uniform growth procedure to the continuous setting of the Brownian Tree, and explore the interesting multifractal properties of the resulting leaf growth measure.